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Finding the Fourth Proportional to 287,979.47, 431,940.04 and 77,638.67

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Solution

The fourth proportional to 287,979.47, 431,940.04 and 77,638.67 is: 116,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,979.47 : 431,940.04 = 77,638.67 : x
  2. Step 2: Convert to fraction form
    287,979.47/431,940.04 = 77,638.67/x
  3. Step 3: Cross multiply
    287,979.47x = 431,940.04 × 77,638.67
  4. Step 4: Simplify right side
    287,979.47x = 33,535,250,225.35
  5. Step 5: Solve for x
    x = 33,535,250,225.35/287,979.47
  6. Step 6: Final answer
    x = 116,450.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.